NEW YORK — Lawyers for Dominique Strauss-Kahn met with prosecutors Wednesday for what the defense called a productive discussion, but there was no immediate word on what would happen to the sexual-assault case that has been threatened by doubts about the accuser’s credibility.

The two sides met privately for about 90 minutes in Manhattan District Attorney Cyrus Vance Jr.’s offices, but participants were tight-lipped about the exchange, which came five days after prosecutors said the accuser had not been truthful about her background and the aftermath of the alleged attack.

Hours later, the woman’s lawyer asked Vance to appoint a special prosecutor to take over the matter, citing questions about the way prosecutors have treated the accuser in the case against the former International Monetary Fund director.

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